For the finite elasticity material, there are various models for the strain energy function based on the different
laws. For example, in [1]} Guccione et al. used the transversely isotropic exponential law strain energy function and
the orthotropic and isotropic laws have been used in [2]} and
[3]}, respectively. Various models for the development of the active tension and the description
of the dynamics of calcium ions and the cross bridges bindings have been proposed in [3]}, [5]}, [6]}, [7]}, [8]}, [9]}, [10]}, [11]}, [12]}, [13]}, [14]}, [15]}, [16]}, [17]}, [18]}, [19]}, [20]}. In [21]},
Hunter et al. presented the model based on the review of experimental data for the mechanics of active and
passive cardiac muscle. They concluded that it could be interpreted as the four state variable model. (i) myocardial tissue passive elasticity, (ii) tension dependence on the troponin C and \(Ca^{+2}\)  bindings, (iii)
tropomyosin movement kinetics and the actively cycling cross-bridges binding sites and the length dependence
of this process, and, (iv) cross-bridge tension development kinetics under variations of the myofilament length.
In [22]}, developed a biophysically and dynamically stable model for the cardiac myocyte of rat at the room temperature. This model is capable of
determining the changes in the concentration of intracellular calcium ion in response to the stretch. In [14]},
presented a multiscale electro-mechanical model for the murince heart which is capable of investigating the effects of excitation-contraction
coupling. In this paper,they show a strong relation between the tension and the velocity to explain the differences between the
single cell tension and the whole organ pressure transient.
